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We show that a competitive equilibrium always exists in combinatorial auctions with anonymous graphical valuations and pricing, using discrete geometry. This is an intuitive and easy-to-construct class of valuations that can model both…

Combinatorics · Mathematics 2021-11-08 Marie-Charlotte Brandenburg , Christian Haase , Ngoc Mai Tran

We propose to study market efficiency from a computational viewpoint. Borrowing from theoretical computer science, we define a market to be \emph{efficient with respect to resources $S$} (e.g., time, memory) if no strategy using resources…

Computational Engineering, Finance, and Science · Computer Science 2009-09-01 Jasmina Hasanhodzic , Andrew W. Lo , Emanuele Viola

A multiproduct seller is more informed than consumers about the value of her products to consumers. The seller posts a price list and segments the market through cheap-talk communication. We find that when both seller's and consumers'…

Theoretical Economics · Economics 2025-03-28 Xiaoxiao Hu , Haoran Lei

We consider a price competition between two sellers of perfect-complement goods. Each seller posts a price for the good it sells, but the demand is determined according to the sum of prices. This is a classic model by Cournot (1838), who…

Computer Science and Game Theory · Computer Science 2017-06-02 Moshe Babaioff , Liad Blumrosen , Noam Nisan

We study a general online combinatorial auction problem in algorithmic mechanism design. A provider allocates multiple types of capacity-limited resources to customers that arrive in a sequential and arbitrary manner. Each customer has a…

Computer Science and Game Theory · Computer Science 2023-10-10 Xiaoqi Tan , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang

A platform commits to a search algorithm that maps prices to search order. Given this algorithm, sellers set prices, and consumers engage in sequential search. This framework generalizes the ordered search literature. We introduce a special…

Theoretical Economics · Economics 2025-03-06 Xiaoyu Chen , Jingmin Huang , Yibo Lian

Motivated by the problem of market power in electricity markets, we introduced in previous works a mechanism for simplified markets of two agents with linear cost. In standard procurement auctions, the market power resulting from the…

Theoretical Economics · Economics 2019-07-25 Benjamin Heymann , Alejandro Jofré

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

Theoretical Economics · Economics 2022-02-16 Ethan Che

We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

Computer Science and Game Theory · Computer Science 2013-06-20 Evangelos Markakis , Orestis Telelis

We analyze digital markets where a monopolist platform uses data to match multiproduct sellers with heterogeneous consumers who can purchase both on and off the platform. The platform sells targeted ads to sellers that recommend their…

Theoretical Economics · Economics 2023-04-18 Dirk Bergemann , Alessandro Bonatti

We consider a simple model of rational agents competing in a single product market described by simple linear demand curve. Contrary to accepted economic theory, the agents' production levels synchronise in the absence of conscious…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Russell K. Standish , Steve Keen

We study a classic Bayesian mechanism design setting of monopoly problem for an additive buyer in the presence of budgets. In this setting a monopolist seller with $m$ heterogeneous items faces a single buyer and seeks to maximize her…

Computer Science and Game Theory · Computer Science 2018-10-09 Yu Cheng , Nick Gravin , Kamesh Munagala , Kangning Wang

This article reviews the recent advances in the uniqueness and multiplicity of competitive equilibria in models arising in mathematical economics, finance, macroeconomics, and trade.

Theoretical Economics · Economics 2024-06-28 Alexis Akira Toda , Kieran James Walsh

In many first-price auctions, bidders face considerable strategic uncertainty: They cannot perfectly anticipate the other bidders' bidding behavior. We propose a model in which bidders do not know the entire distribution of opponent bids…

Theoretical Economics · Economics 2022-03-30 Bernhard Kasberger

Online advertising in E-commerce platforms provides sellers an opportunity to achieve potential audiences with different target goals. Ad serving systems (like display and search advertising systems) that assign ads to pages should satisfy…

Machine Learning · Computer Science 2019-10-09 Chao Wei , Weiru Zhang , Shengjie Sun , Fei Li , Xiaonan Meng , Yi Hu , Hao Wang

A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize…

Theoretical Economics · Economics 2025-09-10 Zihao Li , Jonathan Libgober , Xiaosheng Mu

We present a methodology to robustly estimate the competitive equilibria (CE) of combinatorial markets under the assumption that buyers do not know their precise valuations for bundles of goods, but instead can only provide noisy estimates.…

Computer Science and Game Theory · Computer Science 2021-01-26 Enrique Areyan Viqueira , Cyrus Cousins , Amy Greenwald

We study a spatially homogeneous model of a market where several agents or companies compete for a wealth resource. In analogy with ecological systems the simplest case of such models shows a kind of "competitive exclusion" principle.…

Condensed Matter · Physics 2009-11-07 Marcelo Kuperman And Horacio Wio

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Distributed renewable resources owned by prosumers can be an effective way of fortifying grid resilience and enhancing sustainability. However, prosumers serve their own interests and their objectives are unlikely to align with that of…

Systems and Control · Electrical Eng. & Systems 2022-09-30 Yihsu Chen , Andrew L. Liu , Makoto Tanaka , Ryuta Takashima
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